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Finding the Fourth Proportional to 381,708.96, 572,328.33 and 128,965.57

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Solution

The fourth proportional to 381,708.96, 572,328.33 and 128,965.57 is: 193,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,708.96 : 572,328.33 = 128,965.57 : x
  2. Step 2: Convert to fraction form
    381,708.96/572,328.33 = 128,965.57/x
  3. Step 3: Cross multiply
    381,708.96x = 572,328.33 × 128,965.57
  4. Step 4: Simplify right side
    381,708.96x = 73,810,648,116.59
  5. Step 5: Solve for x
    x = 73,810,648,116.59/381,708.96
  6. Step 6: Final answer
    x = 193,368.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.